LEADER 03346nam 2200565Ia 450 001 9910458434803321 005 20200520144314.0 010 $a981-277-811-X 035 $a(CKB)1000000000402877 035 $a(StDuBDS)AH24684789 035 $a(SSID)ssj0000159682 035 $a(PQKBManifestationID)11149770 035 $a(PQKBTitleCode)TC0000159682 035 $a(PQKBWorkID)10181374 035 $a(PQKB)10773797 035 $a(MiAaPQ)EBC1681570 035 $a(WSP)00004875 035 $a(Au-PeEL)EBL1681570 035 $a(CaPaEBR)ebr10201249 035 $a(CaONFJC)MIL505441 035 $a(OCoLC)847210978 035 $a(EXLCZ)991000000000402877 100 $a20020730d2002 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFunctional equations and inequalities in several variables$b[electronic resource] /$fStefan Czerwik 210 $aRiver Edge, N.J. $cWorld Scientific$dc2002 215 $a1 online resource (ix, 410 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a981-02-4837-7 320 $aIncludes bibliographical references and index. 327 $aFunctional Equations and Inequalities in Linear Spaces: Linear Spaces and Semilinear Topology; Convex Functions; Cauchy's Exponential Equation; Polynomial Functions and Their Extensions; Quadratic Mappings; Quadratic Equation on an Interval; Ulam-Hyers-Rassias Stability of Functional Equations: Additive Cauchy Equation; Multiplicative Cauchy Equation; Jensen's Functional Equation; Gamma Functional Equation; Stability of Homogeneous Mappings; Stability of Functional Equations in Function Spaces; Stability in the Lipschitz Norms; Round-off Stability of Iterations; Functional Equations in Set-Valued Functions: Cauchy's Set-Valued Functional Equation; Pexider's Functional Equation; Subadditive Set-Valued Functions; Hahn-Banach Type Theorem and Applications; Subquadratic Set-Valued Functions; Iteration Semigroups of Set-Valued Functions. 330 8 $aAn outline of the theory of functional equations and inequalities in several variables. The work is divided into three parts, addressing: functional equations and inequalities in linear spaces; Ulam-Hyers-Rassias stability of functional equations; and functional equations in set-valued functions.$bAn outline of the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. 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